Mathematical Statistics and Data Science

Research output

Research output per year 2004 2019 2020 2022 2023 2024 2025

• 142 Article
• 34 Conference article in proceedings
• 11 Doctoral Thesis
• 7 Working paper
• 12 More
  • 3 Meeting Abstract
  • 2 Chapter
  • 2 Other contribution
  • 1 Commissioned report
  • 1 Entry for encyclopedia / dictionary
  • 1 Editorial
  • 1 Review Article
  • 1 Software

Research output per year

Research output per year

Search results

• 2025

  A.D. 2024

  Translated title of the contribution: A.D. 2024Pere, P., 7 Mar 2025, In: Suomen Tilastoseuran Vuosikirja. 2024, p. 3-10 8 p., 1.

  Research output: Contribution to journal › Article › Professional

• Algebraic degree of optimization over a variety with an application to P-norm distance degree

  Kubjas, K., Kuznetsova, O. & Sodomaco, L., Dec 2025, In: Acta Universitatis Sapientiae, Mathematica. 17, 1, 3.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Parametric 100%
  • Objective Function 50%
  • Algebraic Variety 50%
  • Weighted Sum 50%
  • Euclidean Distance 50%
  7 Downloads (Pure)

• Computing a compact local Smith–McMillan form

  Noferini, V. & Van Dooren, P., 2025, In: Linear and Multilinear Algebra. 73, 2, p. 305-321 17 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Matrix 100%
  • Polynomial 33%
  • Toeplitz Matrix 33%
  • Polynomial Matrix 33%
  • Diagonalmatrix 33%
  26 Downloads (Pure)

• Ergodicity for stochastic neural field equations

  Otsetova, A.-M. & Tölle, J. M., 21 May 2025, (Submitted) In: arXiv.org. 30 p.

  Research output: Contribution to journal › Article › Scientific

  • Ergodicity 100%
  • Stochastics 100%
  • Field Equation 100%
  • Invariant Measure 50%
  • Unbounded Domain 50%

• On the uniqueness of collections of pennies and marbles

  Dewar, S., Grasegger, G., Kubjas, K., Mohammadi, F. & Nixon, A., Jun 2025, In: Examples and Counterexamples. 7, p. 1-5 5 p., 100181.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Rigidity 100%
  • Wide Range 33%
  1 Citation (Scopus)

  17 Downloads (Pure)

• Rosenbrock's theorem on system matrices over elementary divisor domains

  Dopico, F. M., Noferini, V. & Zaballa, I., 1 Apr 2025, In: Linear Algebra and Its Applications. 710, p. 10-49 40 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Elementary Divisor 100%
  • System Matrix 100%
  • Matrix 50%
  • Polynomial 16%
  • Linear System 16%
  1 Citation (Scopus)

  40 Downloads (Pure)

• Simplifying modular lattices by removing doubly irreducible elements

  Kohonen, J., 2025, In: Australasian Journal of Combinatorics. 92, 1, p. 49-64 16 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Irreducibles 100%
  • Modular Lattice 100%
  • Space Storage 100%
  • Lattices 66%
  2 Downloads (Pure)

• Single-cell 3D genome reconstruction in the haploid setting using rigidity theory

  Dewar, S., Grasegger, G., Kubjas, K., Mohammadi, F. & Nixon, A., Apr 2025, In: Journal of Mathematical Biology. 90, 4, p. 1-37 37 p., 45.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Rigidity 100%
  • Apply It 50%
  • Synthetic Data 50%
  • Graph Model 50%
  • Unit Ball 50%
  4 Downloads (Pure)

• Smith forms of matrices in Companion Rings, with group theoretic and topological applications

  Noferini, V. & Williams, G., 1 Mar 2025, In: Linear Algebra and Its Applications. 708, p. 372-404 33 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Matrix 100%
  • Circulant Matrix 100%
  • Manifold 50%
  • Commutative Ring 50%
  • Abelianization 50%
  199 Downloads (Pure)

• Variability and the existence of rough integrals with irregular coefficients

  Hinz, M., Tölle, J. M. & Viitasaari, L., 28 Jan 2025, In: Electronic Communications in Probability. 30, 7, p. 1--12

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Integral 100%
  • Multiplicative 50%
  • Fractional Brownian Motion 50%
  • Calculus 50%
  • Bounded Variation 50%
  16 Downloads (Pure)
• 2024

  100+ -vuotisjuhlat

  Pere, P., 4 Nov 2024, In: Suomen Tilastoseuran Vuosikirja. 2023, p. 12-20

  Research output: Contribution to journal › Article › Professional

• 1D stochastic pressure equation with log-correlated Gaussian coefficients

  Avelin, B., Kuusi, T., Nummi, P., Saksman, E., Tölle, J. M. & Viitasaari, L., 15 Feb 2024, (Submitted) In: arXiv.org. 37 p.

  Research output: Contribution to journal › Article › Scientific

  • Gaussian Distribution 100%
  • Stochastics 100%
  • Multiplicative 50%
  • Gaussian Field 50%
  • Posedness 50%

• 3D Genome Reconstruction from Partially Phased Hi-C Data

  Cifuentes, D., Draisma, J., Henriksson, O., Korchmaros, A. & Kubjas, K., Apr 2024, In: Bulletin of Mathematical Biology. 86, 4, p. 1-30 30 p., 33.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Algebraic Geometry 100%
  • Dimensional Structure 100%
  • Apply It 50%
  • Identifiability 50%
  • Noisy Data 50%
  4 Citations (Scopus)

  50 Downloads (Pure)

• A Riemannian Optimization Method to Compute the Nearest Singular Pencil

  Dopico, F. M., Noferini, V. & Nyman, L., 2024, In: SIAM Journal on Matrix Analysis and Applications. 45, 4, p. 2007-2038 32 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  • Riemannian Manifolds 100%
  • Related Result 50%
  • Objective Function 50%
  • Minimizes 50%
  • Smooth Function 50%
  2 Citations (Scopus)

• Axisymmetric capillary water waves with vorticity and swirl connecting to static unduloid configurations

  Otsetova, A. M., Wahlén, E. & Weber, J., 5 Dec 2024, In: Journal of Differential Equations. 411, p. 604-618 15 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Mean Curvature 100%
  • Elliptic Integral 100%
  • Describing Function 50%
  • Surface of Revolution 50%
  • Implicit Function Theorem 50%
  14 Downloads (Pure)

• Clique and cycle frequencies in a sparse random graph model with overlapping communities

  Gröhn, T., Karjalainen, J. & Leskelä, L., 2024, In: Stochastic models. 40, 4, p. 634-658 25 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Cycle Frequency 100%
  • Nodes 50%
  • Superposition 50%
  • Theoretical Density 50%
  • Generated Sample 50%
  2 Citations (Scopus)

  9 Downloads (Pure)

• Connectivity of random hypergraphs with a given hyperedge size distribution

  Bergman, E. & Leskelä, L., 15 Nov 2024, In: Discrete Applied Mathematics. 357, p. 1-13 13 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Hypergraphs 100%
  • Probability Theory 33%
  • Intersection Graph 33%
  • Graph Model 33%
  • Main Result 33%
  3 Citations (Scopus)

  49 Downloads (Pure)

• Distinguishing subsampled power laws from other heavy-tailed distributions

  Sormunen, S., Leskelä, L. & Saramäki, J., 8 May 2024, In: Physical Review E. 109, 5, p. 1-13 13 p., 054308.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Subsample 100%
  • Original Sample 40%
  • Frequency Distribution 20%
  65 Downloads (Pure)

• Efficient computation of Katz centrality for very dense networks via negative parameter Katz

  Noferini, V. & Wood, R., 1 Oct 2024, In: Journal of Complex Networks. 12, 5, p. 1-14 14 p., cnae036.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Approximation (Algorithm) 100%
  • Sparsity 100%
  • Efficient Computation 100%
  • Nodes 100%
  • Edge 100%
  2 Citations (Scopus)

  24 Downloads (Pure)

• Ergodicity for locally monotone stochastic evolution equations with Lévy noise

  Barrera Vargas, G. & Tölle, J. M., 3 Dec 2024, (Submitted) In: arXiv.org. 44 p.

  Research output: Contribution to journal › Article › Scientific

  • Evolution Equation 100%
  • Ergodicity 100%
  • Stochastics 100%
  • Semigroup 28%
  • Power Law 14%

• Generating functions of non-backtracking walks on weighted digraphs : Radius of convergence and Ihara's theorem

  Noferini, V. & Quintana, M. C., 15 Oct 2024, In: Linear Algebra and Its Applications. 699, p. 72-106 35 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Generating Function 100%
  • Radius of Convergence 100%
  • Matrix 40%
  • weighted graph 40%
  • Polynomial 20%
  1 Citation (Scopus)

  94 Downloads (Pure)

• Geometry of polynomial neural networks

  Kubjas, K., Li, J. & Wiesmann, M., 3 Dec 2024, In: Algebraic Statistics. 15, 2, p. 295-328

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  • Polynomial 100%
  • Neural Network 100%
  • Upper Bound 50%
  • Semialgebraic Set 50%
  • Monomials 50%

• Improved regularity for the stochastic fast diffusion equation

  Ciotir, I., Goreac, D. & Tölle, J. M., 23 Feb 2024, In: Electronic Communications in Probability. 29, p. 1–7 7 p., 5.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Diffusion Equation 100%
  • Stochastics 100%
  • Multiplicative 50%
  • Sobolev Space 50%
  • Dirichlet Boundary Condition 50%
  18 Downloads (Pure)

• Information divergences and likelihood ratios of Poisson processes and point patterns

  Leskela, L., 2024, In: IEEE Transactions on Information Theory. 70, 12, p. 9084-9101 18 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Likelihood Ratio 100%
  • Poisson Point 66%
  • Measurable Space 66%
  • Kullback-Leibler Divergence 33%
  • Absolute Continuity 33%
  1 Citation (Scopus)

  15 Downloads (Pure)

• INVERTIBLE BASES AND ROOT VECTORS FOR ANALYTIC MATRIX-VALUED FUNCTIONS

  Noferini, V., 5 Jan 2024, In: Electronic Journal of Linear Algebra. 40, p. 1-13 13 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  • Matrix 100%
  • Valued Function 100%
  • Submodule 100%
  • Root Vector 100%
  • Basis Vector 100%
  3 Citations (Scopus)

• Latent model extreme value index estimation

  Virta, J., Lietzén, N., Viitasaari, L. & Ilmonen, P., Jul 2024, In: Journal of Multivariate Analysis. 202, p. 1-21 21 p., 105300.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Extreme Value Index 100%
  • Extreme Value 100%
  • Asymptotic Behavior 50%
  • Risk Measure 50%
  • Dependent Data 50%
  50 Downloads (Pure)

• Mahdottomia tuloksia

  Pere, P., 4 Nov 2024, In: Suomen Tilastoseuran Vuosikirja. 2023, p. 7-11 5 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

• Normal and stable approximation to subgraph counts in superpositions of Bernoulli random graphs

  Bloznelis, M., Karjalainen, J. & Leskelä, L., 18 Jun 2024, In: Journal of Applied Probability. 61, 2, p. 401-419 19 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  • Superposition 100%
  • Random Graph 100%
  • Probability Distribution 25%
  • Clique 25%
  • Edge 25%
  3 Citations (Scopus)

• On extreme quantile region estimation under heavy-tailed elliptical distributions

  Pere, J., Ilmonen, P. & Viitasaari, L., Jul 2024, In: Journal of Multivariate Analysis. 202, p. 1-20 20 p., 105314.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Elliptical Distribution 100%
  • Quantile 100%
  • Probability Theory 20%
  • Affine Equivariant 20%
  • Real Data 20%
  83 Downloads (Pure)

• On Lamperti transformation and AR(1) type characterisations of discrete random fields

  Voutilainen, M., Viitasaari, L. & Ilmonen, P., 2024, In: THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS. 111, p. 181-197

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Stationary Increment 100%
  • Random Field 100%
  • Stationary Process 50%
  • Natural Generalization 50%
  • Difference Equation 50%
  13 Downloads (Pure)

• On Sharp Rate of Convergence for Discretization of Integrals Driven by Fractional Brownian Motions and Related Processes with Discontinuous Integrands

  Azmoodeh, E., Ilmonen, P., Shafik, N., Sottinen, T. & Viitasaari, L., Mar 2024, In: Journal of Theoretical Probability. 37, 1, p. 721-743

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Fractional Brownian Motion 100%
  • Discretization 100%
  • Integrand 100%
  • Integral 100%
  • Multiplicative 25%
  1 Citation (Scopus)

  20 Downloads (Pure)

• Para-Hermitian Rational Matrices

  Dopico, F. M., Noferini, V., Quintana, M. C. & van Dooren, P., 2024, In: SIAM Journal on Matrix Analysis and Applications. 45, 4, p. 2339-2359 21 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Matrix 100%
  • Unit Circle 33%
  • Analogous Result 11%
  • Polynomial Matrix 11%
  • Eigenvalue Problem 11%
  2 Downloads (Pure)

• Puheenjohtajan palsta: Vuosi 2023

  Translated title of the contribution: Column of the Chair of the Board: Year 2023Pere, P., 4 Nov 2024, In: Suomen Tilastoseuran Vuosikirja. 2023, p. 2-4 3 p.

  Research output: Contribution to journal › Article › Professional

• Recovering Static and Time-Varying Communities Using Persistent Edges

  Avrachenkov, K., Dreveton, M. & Leskela, L., 1 Mar 2024, In: IEEE Transactions on Network Science and Engineering. 11, 2, p. 2087-2099 13 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Edge 100%
  • weighted graph 100%
  • Spectral Clustering 100%
  • Synthetic Data 50%
  • Maximum Likelihood Estimator 50%
  26 Downloads (Pure)

• Renormalized stochastic pressure equation with log-correlated Gaussian coefficients

  Avelin, B., Kuusi, T., Nummi, P., Saksman, E., Tölle, J. M. & Viitasaari, L., 15 Sept 2025, In: Journal of Differential Equations. 439, p. 1-38 38 p., 113416.

  Research output: Contribution to journal › Article › Scientific › peer-review

  File

  • Gaussian Distribution 100%
  • Stochastics 100%
  • Multiplicative 33%
  • Stochastic Partial Differential Equation 33%
  • Divergence Form 33%
  8 Downloads (Pure)

• Spatial queues with nearest neighbour shifts

  Vinay Kumar, B. R. & Leskelä, L., Nov 2024, In: Performance Evaluation. 166, 102448.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Nearest Neighbor 100%
  • Euclidean Space 50%
  • Stationary Process 50%
  • Total Number 50%
  • Numerical Experiment 50%
  1 Citation (Scopus)

  7 Downloads (Pure)

• The influence of cross-border mobility on the COVID-19 epidemic in Nordic countries

  Shubin, M., Brustad, H. K., Midtbø, J. E., Günther, F., Alessandretti, L., Ala-Nissila, T., Tomba, G. S., Kivelä, M., Chan, L. Y. H. & Leskelä, L., Jun 2024, In: PLoS computational biology. 20, 6 June, p. 1-21 21 p., e1012182.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Travel Pattern 100%
  2 Citations (Scopus)

  11 Downloads (Pure)

• The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem

  Hausenblas, E. & Tölle, J. M., 1 Aug 2024, In: Potential Analysis. 61, 2, p. 185-246

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Tychonoff 100%
  • Martingale Solution 20%
  • Schauder-Tychonoff Fixed Point Theorem 20%
  • Nonnegative Martingale 20%
  1 Citation (Scopus)

  16 Downloads (Pure)

• Tropical Laurent Series, Their Tropical Roots, and Localization Results for the Eigenvalues of Nonlinear Matrix Functions

  Porzio, G. M. N., Noferini, V. & Robol, L., 9 Sept 2024, (E-pub ahead of print) In: Mathematics of Computation. 29 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  • Matrix 100%
  • Eigenvalue 100%
  • Laurent Series 100%
  • Polynomial 83%
  • Series Expansion 33%

• WEIGHTED ENUMERATION OF NONBACKTRACKING WALKS ON WEIGHTED GRAPHS

  Arrigo, F., Higham, D. J., Noferini, V. & Wood, R., 2024, In: SIAM Journal on Matrix Analysis and Applications. 45, 1, p. 397-418 22 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Generating Function 100%
  • Edge 100%
  • weighted graph 100%
  • Line Graph 50%
  3 Citations (Scopus)

  34 Downloads (Pure)

• When can forward stable algorithms be composed stably?

  Beltran, C., Noferini, V. & Vannieuwenhoven, N., Mar 2024, In: IMA Journal of Numerical Analysis. 44, 2, p. 886–919 34 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  • Unstable Algorithm 100%
  1 Citation (Scopus)
• 2023

  A network community detection method with integration of data from multiple layers and node attributes

  Reittu, H., Leskelä, L. & Räty, T., 7 Mar 2023, In: Network Science. 11, 3, 23 p., PII S2050124223000024.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  • Community Detection 100%
  • Data Matrix 100%
  • Network Community 100%
  • Detection Method 100%
  • Matrix 100%
  2 Citations (Scopus)

• Clustering and percolation on superpositions of Bernoulli random graphs

  Bloznelis, M. & Leskelä, L., Sept 2023, In: RANDOM STRUCTURES AND ALGORITHMS. 63, 2, p. 283-342 60 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Nodes 100%
  • Power Law Exponent 100%
  • Superposition 100%
  • Network Model 100%
  • Joint Distribution 100%
  9 Citations (Scopus)

  43 Downloads (Pure)

• Estimating inter-regional mobility during disruption: Comparing and combining different data sources

  Heydari, S., Huang, Z., Hiraoka, T., Ponce de Leon Chavez, A., Ala-Nissila, T., Leskelä, L., Kivelä, M. & Saramäki, J., Apr 2023, In: Travel Behaviour and Society. 31, p. 93-105 13 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Data Source 100%
  • Facebook 100%
  • Data Fusion 100%
  • Traffic Sensor 100%
  6 Citations (Scopus)

  70 Downloads (Pure)

• Exact solutions in log-concave maximum likelihood estimation

  Grosdos, A., Heaton, A., Kubjas, K., Kuznetsova, O., Scholten, G. & Sorea, M. Ş., Feb 2023, In: Advances in Applied Mathematics. 143, p. 1-32 32 p., 102448.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Maximum Likelihood 100%
  • Maximum Likelihood Estimate 100%
  • Closed Form 33%
  • Function Value 33%
  • Approximates 33%
  1 Citation (Scopus)

  184 Downloads (Pure)

• Extreme Path Delay Estimation of Critical Paths in Within-Die Process Fluctuations Using Multi-Parameter Distributions

  Runolinna, M., Turnquist, M., Teittinen, J., Ilmonen, P. & Koskinen, L., Mar 2023, In: Journal of Low Power Electronics and Applications. 13, 1, p. 1-14 14 p., 22.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Normal Distribution 100%
  • Parameter Distribution 100%
  • Delay Estimation 100%
  • Critical Path 100%
  • Gaussian Distribution 100%
  3 Citations (Scopus)

  64 Downloads (Pure)

• Flexible transition probability model for assessing cost-effectiveness of breast cancer screening extension to include women aged 45-49 and 70-74

  Shafik, N., Ilmonen, P., Viitasaari, L., Sarkeala, T. & Heinävaara, S., 23 Jun 2023, In: PloS one. 18, 6, p. 1-14 14 p., e0287486.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Health Care Cost 100%
  • Cost-Effectiveness Analysis 100%
  • Breast Cancer Screening 100%
  • Breast Cancer 100%
  • Probability Model 100%
  1 Citation (Scopus)

  30 Downloads (Pure)

• Negative Economic Sentiment Index Based on Finnish News Titles

  Avela, A. & Lehmus, M., 6 Oct 2023, In: Journal of the Finnish Economic Association. 4, 1, p. 49-63 15 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Finnish 100%
  • Volatility 100%
  • Machine Learning 100%
  • Finland 50%
  • Stock Market 25%
  23 Downloads (Pure)

• Note on Asymptotic Behavior of Spatial Sign Autocovariance Matrices

  Voutilainen, M., Ilmonen, P., Viitasaari, L. & Lietzen, N., Jan 2023, In: Statistics and Probability Letters. 192, 109679.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Matrix 100%
  • Asymptotic Behavior 100%
  • Autocovariance 100%
  • Behavior (Neuroscience) 100%
  • Asymptotic Property 50%
  77 Downloads (Pure)

• On computing root polynomials and minimal bases of matrix pencils

  Noferini, V. & Van Dooren, P., 1 Feb 2023, In: Linear Algebra and Its Applications. 658, p. 86-115 30 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

  File

  • Polynomial 100%
  • Matrix 100%
  • Polynomial Basis 100%
  • Minimal Bases 100%
  • Maximal Set 50%
  3 Citations (Scopus)

  101 Downloads (Pure)